Statics › Section J · Moments of inertia › Topic J.6

Radius of gyration

A moment of inertia in mm⁴ is hard to picture. The radius of gyration turns it back into an ordinary distance, and that distance decides which way a column will buckle and how much load it can take.

In this topic

  • A distance instead of a fourth power
  • The definition
  • Three radii, one relation
  • Common shapes
  • Worked example: a rectangular bar
  • Moving the axis
  • Why columns care
  • Worked example: square bar or tube
  • Mass radius of gyration
  • Common mistakes to avoid
  • Key takeaways

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